On the problem of eigenvalue separation for interval matrices with applications to robustness analysis (Q2777626)
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scientific article; zbMATH DE number 1717539
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the problem of eigenvalue separation for interval matrices with applications to robustness analysis |
scientific article; zbMATH DE number 1717539 |
Statements
2 December 2002
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uncertain systems
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linear systems
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robustness
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dominant eigenvalues
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Gershgorin circles
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On the problem of eigenvalue separation for interval matrices with applications to robustness analysis (English)
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The robustness of linear time-invariant dynamical systems with uncertain parameters is investigated. It is shown that the variation of the dominant eigenvalues of the system matrix can be enclosed in Gershgorin circles. A theorem is proved which states that the minimal radius of the boundary circles can be determined by solving a system of linear equations.
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